97845 has 16 divisors (see below), whose sum is σ = 171072. Its totient is φ = 47360.

The previous prime is 97843. The next prime is 97847. The reversal of 97845 is 54879.

97845 = T₃₀ + T₃₁ + ... + T₈₄.

It is an interprime number because it is at equal distance from previous prime (97843) and next prime (97847).

It is not a de Polignac number, because 97845 - 2¹ = 97843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2⁹⁷⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

97845 is a deficient number, since it is larger than the sum of its proper divisors (73227).

97845 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 97845 = (48759)₁₂.

97845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612.

The product of its digits is 10080, while the sum is 33.

The square root of 97845 is about 312.8018542145. The cubic root of 97845 is about 46.0800433726.

The spelling of 97845 in words is "ninety-seven thousand, eight hundred forty-five".